State Space Structural Models

For the purposes of structural dynamic simulations, control system analysis, and design, it is convenient to represent the flexible structure equations in a state-space form, as in (2.1). Recall that a set of the three state-space parameters (A, B, C)is called the state-space representation, and x is the state vector, u is the input, and y is the output. Again, the representation depends on the choice of the state vector, while the input and output remain invariant. It makes a difference what state representation is chosen for system analysis or for controller design. It is shown in this book that modal representation is specifically useful for the purpose of dynamics and control of flexible structures.

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